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Simplifying -1(n + -6) = 27 + 2n Reorder the terms: -1(-6 + n) = 27 + 2n (-6 * -1 + n * -1) = 27 + 2n (6 + -1n) = 27 + 2n Solving 6 + -1n = 27 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 6 + -1n + -2n = 27 + 2n + -2n Combine like terms: -1n + -2n = -3n 6 + -3n = 27 + 2n + -2n Combine like terms: 2n + -2n = 0 6 + -3n = 27 + 0 6 + -3n = 27 Add '-6' to each side of the equation. 6 + -6 + -3n = 27 + -6 Combine like terms: 6 + -6 = 0 0 + -3n = 27 + -6 -3n = 27 + -6 Combine like terms: 27 + -6 = 21 -3n = 21 Divide each side by '-3'. n = -7 Simplifying n = -7
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